Integers
Write an integer to represent a deposit of $50 into a bank account.
50
Write the fraction - 1/2 as a decimal.
-0.5
What is the absolute value of -17?
17
Find the Least Common Multiple (LCM) of 3 and 5.
15
Find the Greatest Common Factor (GCF) of 12 and 18.
6
Write an integer to represent a depth of 15 feet below sea level.
-15
Which number is positioned further to the left on a horizontal number line: $-3.5$ or $-3.75$?
$-3.75
True or False: |-8| > |5|. Explain your reasoning.
True, the absolute value of -8 is 8 and the absolute value of 5 is 5. 8 is greater than 5.
Find the Least Common Multiple (LCM) of 6 and 8.
24
Find the Greatest Common Factor (GCF) of the prime numbers 7 and 11.
1
If you start at 0 on a horizontal number line, move 4 units to the left, and then 6 units to the right, which integer do you land on?
2
Write an inequality statement using < or > to compare the rational numbers -1.5 and -0.8.
-1.5 < -0.8
OR
-0.8 > -1.5
In real-world business terms, absolute value describes "magnitude." If a business has a profit/loss value of -450, what is the magnitude of their loss?
450
A school bell rings every 4 minutes and a security buzzer sounds every 10 minutes. If they just went off at the exact same time, in how many minutes will they sound together again?
20 minutes
A teacher has 24 blue markers and 32 red markers. She wants to divide them into identical bags for student groups with no markers left over. What is the greatest number of groups she can make?
8
City A’s elevation is -120 feet, and City B’s elevation is +80 feet. Which city is closer to sea level (0 feet), and by how many feet?
City B is closer to sea level by 40 feet
Order these rational numbers from least to greatest: -2.5, 0.76, 3/4, 1.2, -1
-2.5, -1, 3/4, 0.76, 1.2
Find all possible values of x that make the equation |x| = 3.2 true.
3.2 and -3.2
Find the Least Common Multiple (LCM) of three numbers: 4, 6, and 9.
36
Find the Greatest Common Factor (GCF) of 54 and 90.
18
Explain what the integer $0 represents in the context of a bank account balance, and give an example of how your balance could become $0 using opposites.
No money in the account.
Ex: you could have had $50 and then spent $50 at the store
A scuba diver is at -14.5 meters, a submarine is at -18.2 meters, and a fish is at -14.1 meters. Write an inequality comparing their positions, and identify who is closest to the surface.
-18.2 < -14.5 < -14.1
OR
-14.1 > -14.5 > -18.2
The fish is closest to the surface
Two hikers are in Death Valley. Hiker A is at -282 feet (below sea level) and Hiker B is at -150 feet. Express their distances from sea level using absolute value, and determine who is further from sea level.
|-282| > |-150|
OR
|-150| < |-282|
Hiker A is further from sea level
Hot dog buns come in packs of 8, and hot dog patties come in packs of 12. What is the least number of packages of buns and patties you must buy to have an equal number of both with none left over?
24
A florist has 40 roses, 60 tulips, and 80 carnations. She wants to create identical bouquets with no flowers left over. What is the greatest number of bouquets she can make, and how many of each flower will be in each bouquet?
20 bouquets
2 roses, 3 tulips, 4 carnations